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Smooth inequality measurement: Approximation theorems

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  • Le Breton, Michel
  • Peluso, Eugenio

Abstract

The main purpose of this paper is to prove that smoothness is not a restrictive assumption in inequality measurement as any inequality measure (preorder) can be approximated in a well defined sense by a smooth inequality measure (preorder).

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Mathematical Economics.

Volume (Year): 46 (2010)
Issue (Month): 4 (July)
Pages: 405-415

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Handle: RePEc:eee:mateco:v:46:y:2010:i:4:p:405-415

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Web page: http://www.elsevier.com/locate/jmateco

Related research

Keywords: Inequality measurement Schur-convexity Approximation;

References

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  1. Le Breton, Michel, 1987. "Stochastic dominance: A bibliographical rectification and a restatement of whitmore's theorem," Mathematical Social Sciences, Elsevier, vol. 13(1), pages 73-79, February.
  2. Mas-Colell, Andreu, 1974. "Continuous and smooth consumers: Approximation theorems," Journal of Economic Theory, Elsevier, vol. 8(3), pages 305-336, July.
  3. Kolm, Serge-Christophe, 1976. "Unequal inequalities. II," Journal of Economic Theory, Elsevier, vol. 13(1), pages 82-111, August.
  4. Kannai, Yakar, 1970. "Continuity Properties of the Core of a Market," Econometrica, Econometric Society, vol. 38(6), pages 791-815, November.
  5. Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
  6. Sen, Amartya, 1973. "On Economic Inequality," OUP Catalogue, Oxford University Press, number 9780198281931.
  7. Kolm, Serge-Christophe, 1976. "Unequal inequalities. I," Journal of Economic Theory, Elsevier, vol. 12(3), pages 416-442, June.
  8. Dasgupta, Partha & Sen, Amartya & Starrett, David, 1973. "Notes on the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 6(2), pages 180-187, April.
  9. Kannai, Yakar, 1974. "Approximation of convex preferences," Journal of Mathematical Economics, Elsevier, vol. 1(2), pages 101-106, August.
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Citations

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Cited by:
  1. Aaberge, Rolf & Peluso, Eugenio, 2012. "A Counting Approach for Measuring Multidimensional Deprivation," IZA Discussion Papers 6589, Institute for the Study of Labor (IZA).

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